Abstract
The steady hydromagnetic flow due to a rotating disk is studied with heat transfer considering the ion slip. The governing equations are solved numerically using finite differences. The results show that the inclusion of the ion slip has important effects on the velocity distribution as well as the heat transfer.
Similar content being viewed by others
References
Aboul-Hassan, A. L., Attia, H. A., 1997, “The Flow Due to a Rotating Disk with Hall Effect,”Physics Letters A, 228, pp. 286–290.
Ames, W. F., Numerical Methods in Partial Differential Equations, 2nd ed., Academic Press, New York, 1977.
Attia, H. A., Aboul-Hassan, A. L., 2001, “Effect of Hall Current on the Unsteady MHD Flow Due to a Rotating Disk with Uniform Suction or Injection,”Applied Mathematical Modeling, Vol. 25, No. 12, pp. 1089–1098.
Attia, H. A., 2002, “On the Effectiveness of Uniform Suction-Injection on the Unsteady Flow Due to a Rotating Disk with Heat Transfer,”Int. Comm. Heat and Mass Transfer, Vol. 29, No. 5, pp. 653–661.
Attia, H. A., 1998, “Unsteady MHD Flow Near a Rotating Porous Disk with Uniform Suction or Injection,”Fluid Dynamics Research 23, pp. 283–290.
Benton, E. R., 1966, “On the Flow Due to a Rotating Disk,”J. Fluid Mech. Vol. 24, No. 4, pp. 781–800.
Cochran, W. G., 1934, “The Flow Due to a Rotating Disk,”Proc. Cambridge Philos. Soc. Vol. 30, No. 3, pp. 365–375.
El-Mistikawy, T. M. A., Attia, H. A., 1990, “The Rotating Disk Flow in the Presence of Strong Magnetic Field,”Proc. 3rd Int. Congress of Fluid Mechanics, Cairo, Egypt, Vol. 3, pp. 1211–1222, Jan. 2–4.
El-Mistikawy, T. M. A., Attia, H. A., Megahed, A. A., 1991, “The Rotating Disk Flow in the Presence of Weak Magnetic Field,”Proc. 4th Conference on Theoretical and Applied Mechanics, Cairo, Egypt, pp. 69–82, Nov. 5–7.
von Karman, T., 1921, “Uber Laminare und Turbulente Reibung,” ZAMM, Vol. 1, No. 4, pp. 233–235.
Kuiken, H. K., 1971, “The Effect of Normal Blowing on the Flow Near a Rotating Disk of Infinite Extent,”J. Fluid Mech. Vol. 47, No. 4, pp. 789–798.
Millsaps, K., Pohlhausen, K., 1952, “Heat Transfer by Laminar Flow from a Rotating Disk,”J. of the Aero-Aeronautical Sciences, Vol. 19, pp. 120–126.
Ockendon, H., 1972, “An Asymptotic Solution for Steady Flow Above an Infinite Rotating Disk with Suction,” Quart.J. Fluid Mech. Appl. Math. Vol. XXV, pp. 291–301.
Sparrow, E. M., Gregg, J. L., 1960, “Mass Transfer, Flow, and Heat Transfer About a Rotating Disk,”ASME J. of Heat Transfer, pp. 294–302.
Stuart, J. T., 1954, “On the Effects of Uniform Suction on the Steady Flow Due to a Rotating Disk,”Quart. J. Mech. Appl. Math. 7, pp. 446–457.
Sutton, G. W., Sherman, A., 1965. Engineering Magnetohydrodynamics, McGraw-Hill, New York, 1965.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Attia, H.A. Ion slip effect on the flow due to a rotating disk with heat transfer. J Mech Sci Technol 21, 672–677 (2007). https://doi.org/10.1007/BF03026972
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF03026972